# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 109 - 115 of 968

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## Question 109

### Question

MCQ▾When is divided by , the quotient and remainder is ________

### Choices

Choice (4) | Response | |
---|---|---|

a. | , -4 | |

b. | ||

c. | , 4 | |

d. |

## Question 110

### Question

MCQ▾The value of k for which the system of equations , has infinite number of solutions, is ________

### Choices

Choice (4) | Response | |
---|---|---|

a. | 3 | |

b. | 1 | |

c. | 6 | |

d. | 0 |

## Question 111

### Question

MCQ▾If one zero of the polynomial is a reciprocal of the other, then p is equal to ________

### Choices

Choice (4) | Response | |
---|---|---|

a. | 4 | |

b. | 6 | |

c. | 8 | |

d. | 7 |

## Question 112

### Question

MCQ▾A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km downstream. If x represents the speed of the boat in still water in km/hr and y represent the speed of the stream in km/hr, then ________

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |

## Question 113

### Question

MCQ▾If are the zeroes of the quadratic polynomial such that , then the value of k is ________

### Choices

Choice (4) | Response | |
---|---|---|

a. | -6 | |

b. | 6 | |

c. | -5 | |

d. | 5 |

## Question 114

### Question

MCQ▾If be the zeroes of the quadratic polynomial , then the value of = ________

### Choices

Choice (4) | Response | |
---|---|---|

a. | 4 | |

b. | -1 | |

c. | -2 | |

d. | 1 |

## Question 115

### Question

MCQ▾If a and b are the roots of the equation , then the equation if the roots are ?

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |